One of the most important problems in communication network design is the stability of network after any disruption of stations or links. Since a network can be modeled by a graph, this concept is examined under the view of vulnerability of graphs. There are many vulnerability measures that were defined in this sense. In recent years, measures have been defined over some vertices or edges having specific properties. These measures can be considered to be a second type of measures. Here we define a new measure of the second type called the total accessibility. This measure is based on accessible sets of a graph. In our study we give the total accessibility number of well known graph models such as Pn, Cn, Km,n, W1,n, K1,n. We also examine this new measure under operations on graphs. A simple algorithm, which calculates the total accessibility number of graphs, is given. We observe that when any two graphs of the same size are compared in stability, it is inferred that the graph of higher total accessibility number is more stable than the other one. All the graphs considered in this paper are undirected, loopless and connected.
Let $S$ and $R$ be two associative rings, let $ _{S}C_{R}$ be a semidualizing $(S,R)$-bimodule. We introduce and investigate properties of the totally reflexive module with respect to $_{S}C_{R}$ and we give a characterization of the class of the totally $C_{R}$-reflexive modules over any ring $R$. Moreover, we show that the totally $C_{R}$-reflexive module with finite projective dimension is exactly the finitely generated projective right $R$-module. We then study the relations between the class of totally reflexive modules and the Bass class with respect to a semidualizing bimodule. The paper contains several results which are new in the commutative Noetherian setting.
In this article, we propose an automated construction of knowledge based artificial neural networks (KBANN) for the recognition of restricted sets of handwritten words or characters. The features that better describe the chosen vocabulary are first selected, according to the characteristics of the used script, language and lexicon. Then, ideal samples of lexicon elements (words or characters) are submitted to a feature extraction module to derive their description using the chosen primitives. The analysis of these descriptions generates a symbolic knowledge base reflecting a hierarchical classification of the words (or characters). The rules are then translated into a multilayer neural network by determining precisely its architecture and initializing its connections with specific values. This construction approach reduces the training stage, which enables the network to reach its final topology and to generalize. The proposed method has been tested on the automated construction of neuro-symbolic classifiers for two Arabic word lexicons.
A study of displacements relating to geodynamical processes involves a use of accurate measurement equipment. Better and better accuracy of field surveys neglecting a survey environment can be insufficient in a reliable study. One of the environmental aspects is discussed in the paper. That is a geotechnical condition of a ground - an environment of benchmarks, which changes of position are observed in geodetic surveys. The conditions determine a ground stability affected by weather or geological processes. The main idea of the paper is to consider geotechnical and geological aspects in geodetic reasoning carried on the base of displacement analysis within a study of geodynamics. There are presented examples illustrating the problem. The first relates to former levelling observations carried in an area of Wieliczka, well geologically surveyed due to mining activity in a salt deposit. There are presented results obtained on the base of a numerical analysis. The seasonal variations of benchmarks’ heights are explained in a background of geology. The changes of ground properties induced by atmospheric conditions are suggested as the main cause of the displacements. The survey data processing provided values of displacements caused by seasonally expanding grounds. The second examples concerns ongoing observations in the area of Inowroclaw (located above the salt dome) bring similar variations of heights that can not be related to that cause. The estimated linear trend of height changes proves an uplift process of the salt dome. Derived conclusions suggest a certain methodology helpful in reliable analysis of geodetic surveys. The conclusions prove that geodetic surveys carried out for investigations of displacements in geodynamics require quite extensive geological data., Zbigniew Szczerbowski., and Obsahuje bibliografii
In the domain of \emph{Computing with words} (CW), fuzzy linguistic approaches are known to be relevant in many decision-making problems. Indeed, they allow us to model the human reasoning in replacing words, assessments, preferences, choices, wishes… by \emph{ad hoc} variables, such as fuzzy sets or more sophisticated variables. This paper focuses on a particular model: Herrera and Martínez' 2-tuple linguistic model and their approach to deal with unbalanced linguistic term sets. It is interesting since the computations are accomplished without loss of information while the results of the decision-making processes always refer to the initial linguistic term set. They propose a fuzzy partition which distributes data on the axis by using linguistic hierarchies to manage the non-uniformity. However, the required input (especially the density around the terms) taken by their fuzzy partition algorithm may be considered as too much demanding in a real-world application, since density is not always easy to determine. Moreover, in some limit cases (especially when two terms are very closed semantically to each other), the partition doesn't comply with the data themselves, it isn't close to the reality. Therefore we propose to modify the required input, in order to offer a simpler and more faithful partition. We have added an extension to the package jFuzzyLogic and to the corresponding script language FCL. This extension supports both 2-tuple models: Herrera and Martínez' and ours. In addition to the partition algorithm, we present two aggregation algorithms: the arithmetic means and the addition. We also discuss these kinds of 2-tuple models.
This tutorial summarizes the new approach to complex system theory that comes basically from physical information analogies. The information components and gates are defined in a similar way as components in electrical or mechanical engineering. Such approach enables the creation of complex networks through their serial, parallel or feedback ordering. Taking into account wave probabilistic functions in analogy with quantum physics, we can enrich the system theory with features such as entanglement. It is shown that such approach can explain emergencies and self-organization properties of complex systems.
A trial of analogies utilization among electrical, mechanical and information circuits is presented. The concepts of Information Power and significant proximity of the measure of information and knowledge could enable upgrading these analogies for solving important tasks from the area of Systems Engineering. This attempt seems to be attractive, as it could help in using the well-established and proved methodologies from the classical areas of electricity or mechanics.
In this paper, by using a new representation of fuzzy numbers, namely the ecart-representation, we investigate the possibility to consider such multiplication between fuzzy numbers that is fully distributive. The algebraic and topological properties of the obtained semiring are studied making a comparison with the properties of the existing fuzzy multiplication operations. The properties of the generated fuzzy power are investigated.
The toxicity of cadmium and zinc at concentrations ranging from 0.1 to 100 µg/l was investigated against the activity of Diplostomum spathaceum (Rudolphi, 1819) cercariae. Over a 24 h exposure period a significant reduction in cercarial activity occurred in solutions of cadmium, zinc, and a mixture of cadmium and zinc at all concentrations. Reduced cercarial activity also occurred in all toxicant solutions compared with controls after only 6 h exposure indicating that cercariae were vulnerable during the period of maximum cercarial infectivity (0-5 h). The mechanisms of metal toxicity and their importance to parasite transmission are discussed.